Energy in Simple Harmonic Motion, Damping and Resonance · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Where the swing keeps its energy

Science · Forces & Motion · ages 17-18
Name ______________________   Date ____________
  1. Which device aims for critical damping?

    • A car suspension
    • A playground swing
    • A tuning fork
  2. In an ideal oscillation, where is all the energy when the mass pauses at an extreme?

    • All potential
    • All kinetic
    • Shared equally
  3. Resonance is a large response when the driving frequency matches the natural frequency. True or false?

    Circle one:   True   False

  4. A door closer must never slam or overshoot. Which regime fits it?

    • Critical
    • Heavy
    • Light
  5. What shape is kinetic energy plotted against displacement?

    • An upright parabola
    • A flat line
    • An upside down parabola peaking at the centre
  6. What does heavier damping do to the resonance peak?

    • It grows taller and narrower
    • It moves to zero frequency
    • It lowers and widens
  7. Why do shock absorbers use strong damping?

    • To stop resonance ever building up
    • To sharpen radio tuning
    • To save fuel
  8. A displaced system overshoots twice with shrinking swings, then settles. Which regime is it in?

    • Heavy
    • Light
    • Critical
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Answer key

For grown-ups. Fold this page away before handing over the rest.

Where the swing keeps its energy W1-mt_3sh7E7k7j2-s1

  1. A car suspension · Car suspensions must settle quickly without swinging past rest.
  2. All potential · At the extremes the mass is still, so all energy sits in the spring.
  3. True · Pushing at the natural rhythm feeds energy in fastest.
  4. Heavy · Heavy damping creeps back with no oscillation at all.
  5. An upside down parabola peaking at the centre · Motion is fastest at the centre and zero at the edges.
  6. It lowers and widens · Losses cap the build-up and spread response over more frequencies.
  7. To stop resonance ever building up · Strong damping keeps road bumps from pumping the car into resonance.
  8. Light · Repeated shrinking oscillation is the light damping signature.
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